Greatest Common Factor of 56 and 338
GCF(56, 338) = 2, Greatest common factor of 56 and 338 is 2. Greatest Common Factor or Greatest Common Divisor of two numbers is the largest integer by which both the numbers can be divided. There are two different methods to calculate Greatest Common Factor of 56 and 338. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 56 and 338 by prime factorization method
We will first find the prime factorization of 56 and 338.
Prime Factorization of 56 is 1, 2, 2, 2, 7 and Prime Factorization of 338 is 1, 2, 13, 13.
- Factorize\( (56) = \) \(1\times 2\times 2\times 2\times 7\)
- Factorize\( (338) = \) \(1\times 2\times 13\times 13\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(56, 338) = 1\times 2 = 2\).
Greatest Common Factor of 56 and 338 by matching factors method
List of positive integers factors of 56 leaving a remainder zero is 1, 2, 4, 7, 8, 14, 28, 56
List of positive integers factors of 338 leaving a remainder zero is 1, 2, 13, 26, 169, 338
As you can see, 2 is the greatest and common number that 56 and 338 divides into.
So the greatest common factor 56 and 338 is 2.
\(GCF(56, 338) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
